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Finding the Fourth Proportional to 13,557.71, 20,334.48 and 3,697.76

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Solution

The fourth proportional to 13,557.71, 20,334.48 and 3,697.76 is: 5,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.71 : 20,334.48 = 3,697.76 : x
  2. Step 2: Convert to fraction form
    13,557.71/20,334.48 = 3,697.76/x
  3. Step 3: Cross multiply
    13,557.71x = 20,334.48 × 3,697.76
  4. Step 4: Simplify right side
    13,557.71x = 75,191,925.09
  5. Step 5: Solve for x
    x = 75,191,925.09/13,557.71
  6. Step 6: Final answer
    x = 5,546.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.